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Hilbert's problems

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Goldbach's conjecture
Conjecture that every even integer greater than 2 is the sum of two primes
Riemann hypothesis
conjecture in mathematics linked to the repartition of prime numbers
Hilbert's problems
twenty-three problems in mathematics published in 1900
continuum hypothesis
hypothesis that no set has a cardinality between that of the integers and that of the real numbers
consistency
Kepler conjecture
mathematical theorem about sphere packing
Hilbert's program
attempt to formalize all of mathematics, based on a finite set of axioms
Hilbert's third problem
one of twenty-three, asking whether one polyhedra can be cut and reassembled into another
Hilbert's seventh problem
On transcendence of certain numbers
Hilbert's tenth problem
Mathematics problem
Hilbert's fifth problem
mathematical problem posed by David Hilbert in 1900, concerning the characterization of Lie groups
Hilbert's twelfth problem
mathematical hypothesis
Hilbert's thirteenth problem
one of the 23 Hilbert problems
Hilbert's sixteenth problem
On topology of algebraic curves and surfaces
Hilbert's seventeenth problem
When are rational functions sums of quotients of squares
Hilbert's sixth problem
whether the mathematical axiomatic method may be extended to physics
Hilbert's second problem
one of twenty-three, asking to prove the consistency of arithmetic axioms
Hilbert's fourth problem
one of twenty-three, asking to construct all metric spaces where lines resemble those on a sphere
Hilbert's 24th problem
mathematical problem
Hilbert's eleventh problem
Classify quadratic forms over algebraic number fields
Hilbert's ninth problem
mathematical problem
Hilbert's twenty-first problem
On linear differential equations with certain properties
Hilbert's fourteenth problem
Are certain algebras finitely generated
Hilbert's eighteenth problem
On lattices and sphere packing in Euclidean space
Hilbert's twenty-third problem
Promotes work on calculus of variations
Hilbert's fifteenth problem
On Schubert's enumerative calculus
Hilbert's nineteenth problem
one of the 23 Hilbert problems
Hilbert's eighth problem
On the distribution of prime numbers
Hilbert's twenty-second problem
On uniformization of analytic relations
Diophantine set
solution of some Diophantine equation
Hilbert's twentieth problem
Can all boundary value problems be solved